12975249394305 has 48 divisors (see below), whose sum is σ = 24636822312960. Its totient is φ = 6264926092800.

The previous prime is 12975249394291. The next prime is 12975249394333. The reversal of 12975249394305 is 50349394257921.

12975249394305 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 52 + 493 + 94 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 12975249394305 - 2⁸ = 12975249394049 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54263745 + ... + 54502334.

It is an arithmetic number, because the mean of its divisors is an integer number (513267131520).

Almost surely, 2^{12975249394305} is an apocalyptic number.

12975249394305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12975249394305 is a deficient number, since it is larger than the sum of its proper divisors (11661572918655).

12975249394305 is a wasteful number, since it uses less digits than its factorization.

12975249394305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108766342 (or 108766339 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 12975249394305 in words is "twelve trillion, nine hundred seventy-five billion, two hundred forty-nine million, three hundred ninety-four thousand, three hundred five".